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Standard interpolation techniques are implicitly based on the assumption that the signal lies on a homogeneous domain. In this letter, the proposed interpolation method instead exploits prior information about domain inhomogeneity,…

Classical Analysis and ODEs · Mathematics 2017-04-14 Hamid Behjat , Zafer Doğan , Dimitri Van De Ville , Leif Sörnmo

Radio interferometry allows astronomers to probe small spatial scales that are often inaccessible with single-dish instruments. However, recovering the radio sky from an interferometer is an ill-posed deconvolution problem that astronomers…

Instrumentation and Methods for Astrophysics · Physics 2022-05-25 Liam Connor , Katherine L. Bouman , Vikram Ravi , Gregg Hallinan

Here we present a proof of concept for the application of the Variance of Laplacian (VL) method in quantifying the sharpness of optical solar images. We conducted a comprehensive study using over 65,000 individual solar images acquired on…

Instrumentation and Methods for Astrophysics · Physics 2024-05-21 Chu Wing So , Edwin Lok Hei Yuen , Edgar Heung Fat Leung , Jason Chun Shing Pun

We present a new method designed for optimal subtraction of two images with different seeing. Using image subtraction appears to be essential for the full analysis of the microlensing survey images, however a perfect subtraction of two…

Astrophysics · Physics 2016-08-30 C. Alard , R. H. Lupton

To design a novel method for segmenting the image using Cubic Spline Interpolation and compare it with different techniques to determine which gives an efficient data to segment an image. This paper compares polynomial least square…

Image and Video Processing · Electrical Eng. & Systems 2018-03-14 Chetan Sai Tutika , Charan Vallapaneni , Karthik R , Bharath KP , N Ruban , Rajesh Kumar Muthu

We propose two efficient numerical methods of evaluating the luminosity distance in the spatially flat {\Lambda}CDM universe. The first method is based on the Carlson symmetric form of elliptic integrals, which is highly accurate and can…

Instrumentation and Methods for Astrophysics · Physics 2011-04-15 De-Zi Liu , Cong Ma , Tong-Jie Zhang , Zhi-Liang Yang

When using images to locate objects, there is the problem of correcting for distortion and misalignment in the images. An elegant way of solving this problem is to generate an error correcting function that maps points in an image to their…

Computer Vision and Pattern Recognition · Computer Science 2009-04-28 Christopher O. Ward

The scarcity of pixel-level annotation is a prevalent problem in medical image segmentation tasks. In this paper, we introduce a novel regularization strategy involving interpolation-based mixing for semi-supervised medical image…

Image and Video Processing · Electrical Eng. & Systems 2022-02-04 Hritam Basak , Rajarshi Bhattacharya , Rukhshanda Hussain , Agniv Chatterjee

In this paper we presented the modified algorithm for astrometric reduction of the wide-field images. This algorithm is based on the iterative using of the method of ordinary least squares (OLS) and statistical Student t-criterion. The…

Instrumentation and Methods for Astrophysics · Physics 2019-04-10 Volodymyr Akhmetov , Sergii Khlamov , Vladislav Khramtsov , Artem Dmytrenko

Digital camera pixels measure image intensities by converting incident light energy into an analog electrical current, and then digitizing it into a fixed-width binary representation. This direct measurement method, while conceptually…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Atul Ingle , Trevor Seets , Mauro Buttafava , Shantanu Gupta , Alberto Tosi , Mohit Gupta , Andreas Velten

We present RESOLVE, a new algorithm for radio aperture synthesis imaging of extended and diffuse emission in total intensity. The algorithm is derived using Bayesian statistical inference techniques, estimating the surface brightness in the…

Instrumentation and Methods for Astrophysics · Physics 2016-02-03 H. Junklewitz , M. R. Bell , M. Selig , T. A. Enßlin

Next-generation radio interferometers, such as the Square Kilometre Array (SKA), will revolutionise our understanding of the universe through their unprecedented sensitivity and resolution. However, to realise these goals significant…

Instrumentation and Methods for Astrophysics · Physics 2017-11-20 Luke Pratley , Jason D. McEwen , Mayeul d'Avezac , Rafael E. Carrillo , Alexandru Onose , Yves Wiaux

Intensive reverberation mapping monitoring programs combine ground-based photometric observations from different telescopes, requiring intercalibration of lightcurves to reduce systematic instrumental differences. We present a new iterative…

Instrumentation and Methods for Astrophysics · Physics 2025-06-02 Roberta Vieliute , Juan V. Hernández Santisteban , Keith Horne , Hannah Cornfield

We present an algorithm capable of detecting diffuse, dim sources of any size in an astronomical image. These sources often defeat traditional methods for source finding, which expand regions around points of high intensity. Extended…

Instrumentation and Methods for Astrophysics · Physics 2016-01-05 T. Butler-Yeoman , M. Frean , C. P. Hollitt , D. W. Hogg , M. Johnston-Hollitt

Low-light image enhancement task is essential yet challenging as it is ill-posed intrinsically. Previous arts mainly focus on the low-light images captured in the visible spectrum using pixel-wise loss, which limits the capacity of…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Shulin Tian , Yufei Wang , Renjie Wan , Wenhan Yang , Alex C. Kot , Bihan Wen

I introduce a straightforward technique for the filtering of extended astronomical images into components of different spatial scales. For a positive original image, each component is positive definite, and the sum of all components equals…

Astrophysics · Physics 2009-10-31 Lawrence Rudnick

Deep learning based methods have penetrated many image processing problems and become dominant solutions to these problems. A natural question raised here is "Is there any space for conventional methods on these problems?" In this paper,…

Image and Video Processing · Electrical Eng. & Systems 2020-11-30 Chaobing Zheng , Zhengguo Li , Shiqian Wu

A pivotal step in image super-resolution techniques is interpolation, which aims at generating high resolution images without introducing artifacts such as blurring and ringing. In this paper, we propose a technique that performs…

Image and Video Processing · Electrical Eng. & Systems 2020-03-23 Sobhan Kanti Dhara , Debashis Sen

Stellar population synthesis is an important method in the galaxy and star-cluster studies. In the stellar population synthesis models, stellar spectral library is necessary for the integrated spectra of the stellar population. Usually, the…

Instrumentation and Methods for Astrophysics · Physics 2020-09-30 LianTao Cheng , FengHui Zhang

We address the problem of reconstructing X-Ray tomographic images from scarce measurements by interpolating missing acquisitions using a self-supervised approach. To do so, we train shallow neural networks to combine two neighbouring…

Image and Video Processing · Electrical Eng. & Systems 2022-05-18 Emilien Valat , Katayoun Farrahi , Thomas Blumensath